Players can breed Pokémon using the Pasture Block. This should be considered temporary and will be removed when either Cobblemon or Generations adds a proper integrating system for Breeding. Currently, it overrides pasture block mechanics, so if you want to use a pasture block as normal to display your pokemon, you have to shift click the pasture block instead.
Players can initiate the breeding process by right clicking a Pasture Block. This command opens a GUI where players can input their chosen breeding pairs and begin the breeding process.